Kantorovich-Vlasov Method for Simply Supported Rectangular Plates under Uniformly Distributed Transverse Loads
نویسندگان
چکیده
منابع مشابه
Buckling Analysis of Simply-supported Functionally Graded Rectangular Plates under Non-uniform In-plane Compressive Loading
In this research, mechanical buckling of rectangular plates of functionally graded materials (FGMs) is considered. Equilibrium and stability equations of a FGM rectangular plate under uniform in-plane compression are derived. For isotropic materials, convergent buckling loads have been presented for non-uniformly compressed rectangular plates based on a rigorous superposition fourier solution f...
متن کاملLeast squares weighted residual method for finding the elastic stress fields in rectangular plates under uniaxial parabolically distributed edge loads
In this work, the least squares weighted residual method is used to solve the two-dimensional (2D) elasticity problem of a rectangular plate of in-plane dimensions 2a 2b subjected to parabolic edge tensile loads applied at the two edges x = a. The problem is expressed using Beltrami–Michell stress formulation. Airy’s stress function method is applied to the stress compatibility equation, and th...
متن کاملNon-Linear Analysis of Functionally Graded Sector Plates with Simply Supported Radial Edges Under Transverse Loading
In this study, nonlinear bending of functionally graded (FG) circular sector plates with simply supported radial edges subjected to transverse mechanical loading has been investigated. Based on the first-order shear deformation plate theory with von Karman strain-displacement relations, the nonlinear equilibrium equations of sector plates are obtained. Introducing a stress function and a potent...
متن کاملBuckling Analysis of Thin Functionally Graded Rectangular Plates with two Opposite Edges Simply Supported
In this article, an exact analytical solution for thermal buckling analysis of thin functionallygraded (FG) rectangular plates is presented. Based on the classical plate theory and using the principle ofminimum total potential energy, the stability equations are obtained. Since the material properties in FGmaterials are functions of the coordinates (specially the thickness), the stability equat...
متن کاملFree Vibration of Simply Supported Rectangular Composite Plates with Patch Mass
The effect of a distributed patch mass on the natural frequency of vibration of a laminated rectangular plate with simply supported boundaries is investigated. The third order displacement field of a composite laminated rectangular plate is defined using the two variable refined plate theory. Equations of motion of the plate are obtained with the help of calculus of variation. Parametric study ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Civil, Mechanical and Energy Science
سال: 2017
ISSN: 2455-5304
DOI: 10.24001/ijcmes.3.2.1